The area of a trapezium is 14.7cm if the parallel side are 5.3 and 3.1cm long find the height
just plug and chug
(5.3 + 3.1)/2 * h = 14.7
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To find the height of a trapezium given the area and the lengths of the parallel sides, you can use the formula:
Area = ((a + b) * h) / 2
where 'a' and 'b' are the lengths of the parallel sides, and 'h' is the height.
In this case, the area is given as 14.7 cm², and the parallel side lengths are 5.3 cm and 3.1 cm.
Let's substitute these values into the formula and solve for 'h':
14.7 = ((5.3 + 3.1) * h) / 2
Multiply both sides of the equation by 2 to eliminate the denominator:
14.7 * 2 = (5.3 + 3.1) * h
29.4 = 8.4 * h
Now, divide both sides of the equation by 8.4 to isolate 'h':
h = 29.4 / 8.4
h ≈ 3.5 cm
Therefore, the height of the trapezium is approximately 3.5 cm.